In a - ABC- the minimum value of r1r2r3-r3 is

The correct option is C 27 Consider 1r_1,1r_2,1r_3 Now applying AM≥ GM , we get #160; 1r_1+1r_2+1r_33≥1(r_1.r_2.r_3)^1/3 But, 1r_1+1r ...

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AM,GM,HM Inequality

In a Δ ABC,...

Question

In a $Δ A B C$ , the minimum value of $\frac{r_{1} r_{2} r_{3}}{r^{3}}$ is

9

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27

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Solution

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Similar questions

Δ A B C,

\frac{r_{1} r_{2} r_{3}}{r^{3}}

Δ A B C

\frac{r_{1} r_{2} r_{3}}{r^{3}} = 27

x_{1} + x_{2} + x_{3} + . . . . + x_{n} = λ

x_{1}, x_{2}, x_{3}, . . . . x_{n}

x_{1} = x_{2} = x_{3} = . . . . x_{n}

r_{1} r_{2} r_{3} / r^{3}

r_{1}, r_{2}, r_{3}

Δ A B C

r

r_{1} r_{2} r_{3} - r (r_{1} r_{2} + r_{2} r_{3} + r_{3} r_{1}) =

\frac{r_{1} r_{2} r_{3}}{r^{3}}

27

a_{1} + a_{2} + a_{3} + . . . + a_{n} = k

k

a_{1} a_{2} a_{3} . . . a_{n}

a_{1} = a_{2} = a_{3} = . . . = a_{n}

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